Search a number
-
+
1085130264 = 2331721011549
BaseRepresentation
bin100000010101101…
…1100011000011000
32210121212022212210
41000223130120120
54210243132024
6255402035120
735614312041
oct10053343030
92717768783
101085130264
11507589479
122634a8aa0
13143a7571a
14a418b8c8
15653ea129
hex40adc618

1085130264 has 96 divisors (see below), whose sum is σ = 2912202000. Its totient is φ = 336844800.

The previous prime is 1085130259. The next prime is 1085130269. The reversal of 1085130264 is 4620315801.

It is an interprime number because it is at equal distance from previous prime (1085130259) and next prime (1085130269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085130269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699762 + ... + 701310.

Almost surely, 21085130264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085130264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456101000).

1085130264 is an abundant number, since it is smaller than the sum of its proper divisors (1827071736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1085130264 is a wasteful number, since it uses less digits than its factorization.

1085130264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1085130264 is about 32941.3154564295. The cubic root of 1085130264 is about 1027.6075631677.

The spelling of 1085130264 in words is "one billion, eighty-five million, one hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 289 303 404 408 578 606 808 867 1156 1212 1549 1717 1734 2312 2424 3098 3434 3468 4647 5151 6196 6868 6936 9294 10302 12392 13736 18588 20604 26333 29189 37176 41208 52666 58378 78999 87567 105332 116756 156449 157998 175134 210664 233512 312898 315996 350268 447661 469347 625796 631992 700536 895322 938694 1251592 1342983 1790644 1877388 2659633 2685966 3581288 3754776 5319266 5371932 7978899 10638532 10743864 15957798 21277064 31915596 45213761 63831192 90427522 135641283 180855044 271282566 361710088 542565132 1085130264